Security at the resort is at a high level, so you don't have to worry. Since Nusa Dua is an elite resort for wealthy people, everything is provided here. Moreover, the resort is built in such a way as to separate locals from vacationers. There are webcams in many places, so your rights will not be violated.
Since tourists are different, it is better to be a little more vigilant and watch your belongings.
In Nusa Dua you can see police officers patrolling the streets and if you need them, they will be happy to help you.
There are security guards at the hotel, so you can have peace of mind about your safety and your belongings.